\(h\)-deformation of GL\((1| 1)\). (English) Zbl 0864.17022
In this letter an \(h\)-deformation of a (graded) Hopf algebra of functions on the supergroup \(\text{GL}_q(1|1)\) is introduced via a contraction of \(\text{GL}_q(1|1)\). The authors start with a superplane and its dual and follow the contraction method of A. Aghamohammadi, M. Khorrami and A. Shariati [J. Phys. A, Math. Gen. 28, L225–L231 (1995; Zbl 0858.17014)]. The deformation parameter \(h\) is odd (Grassmann). A related differential calculus on an \(h\)-superplane is presented.
Reviewer: Li Fang (Nanjing)
MSC:
| 17B37 | Quantum groups (quantized enveloping algebras) and related deformations |
| 46L85 | Noncommutative topology |
| 46L87 | Noncommutative differential geometry |
| 16W30 | Hopf algebras (associative rings and algebras) (MSC2000) |
Keywords:
graded Hopf algebra; supergroup; \(h\)-deformation; contraction; differential calculus; \(h\)-superplaneCitations:
Zbl 0858.17014References:
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